I am stuck and would like this done ASAP, please and thank you!

Question 4 (5 points) A 5-kg mass attached to a linear spring undergoes simple harmonic motion along a frictionless tabletop with an amplitude of 0.35 m and frequency of 0.67 Hz. a. Calculate the value of the spring constant. (3 marks) b. What is the ratio of the mass' acceleration when it is at half its amplitude to when it is at full amplitude? (2 marks)Question 5 {2 points) On a flat surface in Toledo, Ohio. a simple pendulum of length ELSE m and mass [1.34 kg is pulled back an angle of 45 and released. a. Determine the theoretical period of the pendulum. {1 mark} b. When the period is measured {with a photogate, for 2G oscillations} it is found that the experimental period is 5 percent higher than expected. Repeated measurements consistently gives similar values. 1Ilf'lll'hat is the most likely explanation for this systemic error? {1 marks} Question 6 (5 points) Students are to conduct an experiment to investigate the relationship between the length of a pendulum and its period. Their procedure involves hanging a 0.5 kg mass on a string of varying length, L, setting it into oscillation, and measuring the period. The students conduct the experiment and obtain the following data: Trial 1 2 3 5 6 Length (m) 0.25 0.50 0.75 1.0 1.5 2.0 Period (s) 1.0 1.4 1.7 2.0 2.5 2.8 a. Use the above empty boxes in the data table to calculate values of square of period (s ). (1 mark) b. Use your graphing calculator (for example, TI-83+) to plot length vs. square of period (x vs y). Then apply the best fit line program to find the slope of the best fit line. (2 marks) c. Use the slope of the best fit line to calculate the experiment value of acceleration due to gravity. (2 marks)